Results 21 to 30 of about 497,921 (244)
Universality of the Stochastic Bessel Operator [PDF]
Probability Theory and Related Fields, 2018 We establish universality at the hard edge for general beta ensembles provided that the background potential V is a polynomial such that x -> V(x^2) is uniformly convex and beta is larger than or equal to one. The method rests on the corresponding tridiagonal matrix models, showing that their appropriate continuum scaling limit is given by the ...
Brian Rider, Patrick Waters
openaire +3 more sources
Calderón–Zygmund operators in the Bessel setting [PDF]
Monatshefte für Mathematik, 2011 We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood-Paley-Stein square functions, multipliers of Laplace transform type and Riesz transforms. We show that these are (vector-valued) Calderón-Zygmund operators in the sense of the associated
Betancor, Jorge J. +2 more
openaire +3 more sources
FACENA, 2023 We consider a class of conv olution operator denoted ϕα W obtained by convolution with a generalized function expressible in terms of the Bessel function on first kind γ J with argument the distribution ( ) P ± i0 . We study some elementary properties of the operator ϕα W like the semigroup property ϕ = ϕ α β α+β W W W ; and ( +m2 ) α α−2 W ϕ = W for α
openaire +2 more sources
Hardy spaces for Bessel–Schrödinger operators [PDF]
Mathematische Nachrichten, 2018 AbstractConsider the Bessel operator with a potential on , namely urn:x-wiley:0025584X:media:mana201600286:mana201600286-math-0002We assume that and is a nonnegative function. By definition, a function belongs to the Hardy space if urn:x-wiley:0025584X:media:mana201600286:mana201600286-math-0007Under certain assumptions on V we characterize the ...
Kania, Edyta, Preisner, Marcin
openaire +2 more sources
Bessel Wavelets and the Galerkin Analysis of the Bessel Operator
Journal of Mathematical Analysis and Applications, 2001 The authors consider the Bessel operator, which is the self-adjoint Friedrichs extension of the operator \(\widetilde L (g) (x) = - g''(x)+ \frac{\nu^2-1/4}{x^2}g(x)\), for \(f \in C_0^\infty(\mathbb R^+)\), \(x\in {\mathbb R}^+\) and \(\nu \geq 0\). Their goal is to study Galerkin approximations to the solution of the equation \(Lu=f\) for some given \
Frazier, Michael, Zhang, Shangqian
openaire +2 more sources
On the General Solution of the Ultrahyperbolic Bessel Operator [PDF]
Mathematical Problems in Engineering, 2011 We study the general solution of equation , where is the ultrahyperbolic Bessel operator iterated k‐times and is defined by , n is the dimension of , , 2vi = 2βi + 1, βi > −1/2, xi > 0 (i = 1, 2, …, n), f(x) is a given generalized function, u(x) is an unknown generalized function, k is a nonnegative integer, c is a positive constant, and .
Damkengpan, Rattapan, Nonlaopon, Kamsing
openaire +2 more sources
Open Mathematics, 2021 In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
doaj +1 more source
ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS
Проблемы анализа, 2016 In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated ultra-hyperbolic equations with ...
E. L. Shishkina
doaj +1 more source
Composition Formula for Saigo Fractional Integral Operator Associated with V-Function
Journal of Mathematics, 2022 In this study, we form integral formulas for Saigo’s hypergeometric integral operator involving V-function. Corresponding assertions for the classical Riemann–Liouville (R-L) and Erdélyi–Kober (E-K) fractional integral operator are extrapolated. Also, by
Sunil Chandak +2 more
doaj +1 more source